Use the table to find a pattern.

Question

Number
Powers of 10
4 comma 550
4.55 times 10 cubed
455.0
4.55 times 10 squared
45.5
4.55 times 10 Superscript 1
4.55
4.55 times 10 Superscript 0
0.455
4.55 times 10 Superscript negative 1
0.0455
4.55 times 10 Superscript negative 2
0.00455
4.55 times 10 Superscript negative 3
.
.
.
Question content area right
Part 1
Which of the following is a pattern in the​ table?
A.
As the exponent of 10​ decreases, the number decreases.
B.
The exponents that are less than 0 cause the number to become negative.
C.
The exponents that are greater than 0 cause the number to decrease.
D.
As the exponent of 10​ increases, the number decreases.

Answer 1

To analyze the table and the choices provided:

1. Examine the pattern:

   • As the exponents of 10 decrease (meaning a larger negative exponent), the numbers are getting smaller:
     • \( 4.55 \) (10^0) is larger than \( 0.455 \) (10^-1), which is larger than \( 0.0455 \) (10^-2), and so on.
   • Conversely, as the exponents increase (larger positive exponent), the numbers also increase.

2. Evaluate the choices:

   • A. As the exponent of 10 decreases, the number decreases.
     • This is true. For example, \( 4.55 \) (10^0) is larger than \( 0.0455 \) (10^-2).
   • B. The exponents that are less than 0 cause the number to become negative.
     • This is false. All values given in the table are positive.
   • C. The exponents that are greater than 0 cause the number to decrease.
     • This is false. As the exponent increases positively, the values correspondingly increase.
   • D. As the exponent of 10 increases, the number decreases.
     • This is false. As the exponent of 10 increases, the values also increase.

Based on this analysis, the correct pattern in the table is:

A. As the exponent of 10 decreases, the number decreases.